In Example 9.2 (p. 214), if you instead carried the suitcase by the handle so that the suitcase was hanging directly at your side, how much work would you do on the suitcase as you carried it forward at a constant walking speed

Answer:

Let the number be x

According to Question ,

2x + 3x = 40

5x = 40

x = 8

therefore , the number is 8

hope that helps uh...☺

[tex]\\ \rm\longmapsto (a+b+c)^{10}-abc[/tex]

[tex]\\ \rm\longmapsto (1+2-3)^{10}-(1)(2)(-3)[/tex]

[tex]\\ \rm\longmapsto (3-3)^{10}+6[/tex]

[tex]\\ \rm\longmapsto 0^{10}+3[/tex]

[tex]\\ \rm\longmapsto 0+3[/tex]

[tex]\\ \rm\longmapsto 3[/tex]

(a+b+c)^10-abc

= (1+2-3)^10-(1×2×-3)

= 0- (-6)

=6 answer.....

Answer:

12/5

Step-by-step explanation:

since we are dealing with the angle at Z, we consider Z also to be the center of a circle.

then 10 is the radius of this circle.

24 is tan Z in this circle with radius 10.

tan Z in the standard circle with radius 1 is simply 1/10 of the tan Z in the circle with radius 10.

so, tan Z = 24/10 = 12/5

Answer:

40

Step-by-step explanation:

1+2+3=6

1/6×120=20

2/6×120=40

3/6×120=60

Answer:

√13 miles

Step-by-step explanation:

Using Pythagorean Theorem,

h^2=p^2+b^2

Here,

h=x

p=2miles( taking the angle opposite to 2miles as reference)

b=3miles

Now,

x^2=2^2+3^2

x=√(4+9)

x=√13 miles

[tex] \frac{ {x}^{2} }{4} - \frac{ {y}^{2} }{21} = 1[/tex]

[tex] \frac{(x - h)^{2} }{ {a}^{2} } - \frac{(y - k) ^{2} }{ {b}^{2} } = 1 \\ [/tex]

[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } \\ c = \sqrt{(( - 5) - 0)^{2} + (0 - 0) ^{2} } \\ c = \sqrt{ {5}^{2} } \\ c = 5[/tex]

[tex]b = + \sqrt{21} , - \sqrt{21} [/tex]

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{0 - 0}{0 - ( -5 )} = 0[/tex]

[tex] \frac{(x - h)^{2} }{ {a}^{2} } - \frac{(y - k) ^{2} }{ {b}^{2} } = 1 \\ [/tex]

[tex]\frac{(x - 0)^{2} }{ {2}^{2} } - \frac{(y - 0) ^{2} }{ { \sqrt{2} }^{2} } = 1 \\ [/tex]

[tex] \frac{ {x}^{2} }{4} - \frac{ {y}^{2} }{21} = 1[/tex]

I hope I helped you^_^

Answer:

W is multiplied by 8

Step-by-step explanation:

If W varies jointly with x, y, and z, we can say that

W = k (xyz), with k being a constant for our original equation. We are asked what will happen to W if x, y, and z are each doubled. To figure this out, we can go back to our equation,

W = k (xyz)

First, we can double x, meaning that we multiply it by 2. Doing this, we get

W = k (2x * y * z)

Then, we can double y and z in a similar fashion, resulting in

W = k (2x * 2y * 2z)

W = 8 * k (xyz)

The new W, after all the doubling, is equal to 8 * k * x * y * z. The old W is equal to k * x * y * z. It can be determined that the new W is equal to 8 * the old W, so W is multiplied by 8

Answer:

Find the value of x:-

To find Y, use Pythagorean theorem:- [tex]c^{2} =a^{2} +b^{2}[/tex]

[tex](2.1)^{2} =y^{2} +(1.4)^{2}[/tex]

[tex]2.1^{2}=4.41[/tex]

[tex]1.4^{2} =1.96[/tex]

[tex]4.41=y^{2} +1.96[/tex]

subtract 1.96 from both sides

[tex]2.45=y^{2}[/tex]

[tex]y=1.5652[/tex]

Now, to find x:-

[tex]x=y+y[/tex]

[tex]= 1.5632+1.5652[/tex]

[tex]x=3.1 \: ft[/tex]

~OAmalOHopeO

[tex] \begin{cases}\large\bf{\green{ \implies}} \tt \: \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: 10 \end{cases}[/tex]

Answer:

k = -10

Step-by-step explanation:

In order to solve for k, we need to isolate the variable. This means we need k to be on one side of the equation by itself.

We are given:

[tex]-\frac{6}{5}k=12[/tex]

The first thing I would do is multiply both sides of the equation by 5:

[tex](5)-\frac{6}{5}k=12(5)[/tex]

This leaves us with:

[tex]-6k=60[/tex]

Now, in order to get k by itself, we need to divide by -6 on both sides:

[tex]\frac{-6k}{-6}=\frac{60}{-6}[/tex]

Therefore:

[tex]k=-10[/tex]

Answer:

144

Step-by-step explanation:

perimeter of square=48 ( formula= 4*a )

a= 48/4

= 12

area= a*a

=12*12

=144

Answer:

Whole number —> X

Twice the square of the number —> 2X²

X + 2X² = 10

2X²+X –10 =0

(2x + 5) ( x–2) =0

2x +5=0 —> 2x= – 5 —> x= – 5/2 = —> x= - 2.5 (rejected)

x–2=0 —> x= 2

So Ans ; X= 2 ( the number )

I hope I helped you^_^

Answer:

Step-by-step explanation:

[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]

[tex]\\ \sf\longmapsto 2396\times 78 +2396\times 22[/tex]

[tex]\\ \sf\longmapsto 2396(78+22)[/tex]

[tex]\\ \sf\longmapsto 2396(100)[/tex]

[tex]\\ \sf\longmapsto 239600[/tex]

Answer:

y = (-2/7)x - (29/7)

Step-by-step explanation:

Answer:

[tex]C'(x)=-\frac{148}{x^2}[/tex]

[tex]R'(x)=-0.06[/tex]

Step-by-step explanation:

Marginal average Cost function:

[tex]\frac{d}{dx}(\frac{148+6.3x}{x})=-\frac{148}{x^2}[/tex]

Marginal average Revenue function:

[tex]\frac{d}{dx}(\frac{3x-0.06x}{x})=-0.06[/tex]

Answer:

Step-by-step explanation:

yess

Answer:

Step-by-step explanation:

[tex]6 \div \frac{3}{8} = 6 \times \frac{8}{3} \\ [/tex]

[tex] = \frac{6 \times 8}{3} \\ \\ = \frac{48}{3} =1 6[/tex]

Answer: it is an exponential decay function

Step-by-step explanation:

Since 0.3 is less than 1 then increasing the value of the x will lead to the decrease of the value function y

Answer:

1520.5 yd²

Step-by-step explanation:

Surface area of a sphere = 4πr², where r is the radius

so,

4πr²

= 4×π×11²

= 484π

= 1520.5 yd²

Answer:

Step-by-step explanation:

10/13

Answer: 10/13

Explanation:

= 7/13 + 3/13

Its like fraction

= 10/13

Its already in lowest terms

Must click thanks and mark brainliest

Answer:

4th option

Step-by-step explanation:

The relationship is linear,

putting the value of x in the right side of the equation of option 4, you'll get the value of the left side

putting, x=1

y+4=-1/2(x-1)

y=-1/2(1-1)-4

y=-4

putting, x=7

y+4=-1/2(7-1)

y=-1/2(6)-4

y=-6/2-4

y=-3-4

y=-7

Answer:

A. 6²¹

Step-by-step explanation:

When you have a number raised to the power in that form, you have to multiply the powers:

(6⁷)³

7×3 = 21

(6⁷)³ = 6²¹

Answer:

A. 6 raise to 21

Step-by-step explanation:

its a formula if:

a raise to m whole raise to n = a raise to m×n

so here

          6 raise to 7 × 3

         that is 6 to the power of 21

Answer:

23. -9+2y

24. 6x=5

Step-by-step explanation:

27-6y/-3

3(9-2y)/-3

-(9-2y)

-9+2y

2(6x+5)/2 . cancel 2

6x+5

Answer: (Depends what grade you're in)

Step-by-step explanation:

Using the z-distribution, it is found that the 99% confidence interval to estimate the treatment effect of buproprion (placebo-treatment) is (-0.234, -0.024).

The confidence interval is:

[tex]\overline{x} \pm zs[/tex]

In which:

In this problem, we are given that z = 2.576, s = 0.0407. The sample mean is the difference of the proportions, hence:

[tex]\overline{x} = \frac{28}{162} - \frac{82}{272} = -0.129[/tex]

Then, the bounds of the interval are given by:

[tex]\overline{x} - zs = -0.129 - 2.576(0.0407) = -0.234[/tex]

[tex]\overline{x} + zs = -0.129 + 2.576(0.0407) = -0.024[/tex]

The 99% confidence interval to estimate the treatment effect of buproprion (placebo-treatment) is (-0.234, -0.024).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

1.33

Step-by-step explanation:

62 can only be subtracted from 82 once. So 82.46-62 would be 20.46. Since you can't subtract anymore you put a decimal point. 62x3=186 and 20.46-186=1.86 and you can subtract 186-186=0.

Recall that a ⇒ b   ⇔   ¬a ∨ b. So we can write

q ⇒ (p ∧ r )   ⇔   ¬q ∨ (p ∧ r )

Then the negation of this would be, for instance,

¬(¬q ∨ (p ∧ r ))   ⇔   ¬(¬q) ∧ ¬(p ∧ r )

…   ⇔   q ∧ (¬p ∨ ¬r )

…   ⇔   (¬p ∧ q) ∨ (q ∧ ¬r )

…   ⇔   ¬(p ∨ ¬q) ∨ (q ∧ ¬r )

…   ⇔   (p ∨ ¬q) ⇒ (q ∧ ¬r )

It's impossible to tell what kind of statement your program is expecting, but since there are 5 slots available, my money would be on q ∧ (¬p ∨ ¬r ), so long as ¬p and ¬r are options.

Question:- how many 50 cents coins are there in $10.50

Answer:-

Total amount-> $ 10.50

So amount in cents

$ 1 is equal to 100 cents

$10.50 is equal to 1050 cents

According to the question

[tex]Number \: of \: the \: 50 \: cents= \frac{ Total \: cents}{ 50 \: cents } \\ [/tex]

[tex]Number \: of \: the \: 50 \: cents = \frac{1050}{50} \\ Number \: of \: the \: 50 \: cents = 21 \: [/tex]

Answer:

the union of l and m is minus 1,1,2,4,5,7,8.....and the intersection of l and m is 1.......

Answer:

100.48

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = 3.14 ( 2)^2 * 8

V = 3.14 (4)(8)

V = 100.48

Answer:

Option E, 4, 4√3

Step-by-step explanation:

s = 4

q = 4√3